Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Articles Article Faculty Publications -Articles Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource A note on ?(k)-colouring of the Cartesian product of some graphs Subject The topic of the resource bad edge; Improper colouring; near proper colouring; ?(k)-colouring Description An account of the resource The chromatic number, x(G) of a graph G is the minimum number of colours used in a proper colouring of G. In an improper colouring, an edge uv is bad if the colours assigned to the end vertices of the edge is the same. Now, if the available colours are less than that of the chromatic number of graph G, then colouring the graph with the available colours lead to bad edges in G. The number of bad edges resulting from a ? (k)-colouring of G is denoted by bk(G). In this paper, we use the concept of (k)-colouring and determine the number of bad edges in Cartesian product of some graphs. 2022 by the authors. Creator An entity primarily responsible for making the resource Ellumkalayil M.T.; Naduvath S. Source A related resource from which the described resource is derived Communications in Combinatorics and Optimization, Vol-7, No. 1, pp. 113-120. Publisher An entity responsible for making the resource available Azarbaijan Shahid Madani University Date A point or period of time associated with an event in the lifecycle of the resource 2022-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.22049/cco.2021.27114.1211" target="_blank" rel="noreferrer noopener">https://doi.org/10.22049/cco.2021.27114.1211</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85126861554&amp;doi=10.22049%2Fcco.2021.27114.1211&amp;partnerID=40&amp;md5=6d190b48285f613b9fca7373095eea97" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85126861554&amp;doi=10.22049%2fcco.2021.27114.1211&amp;partnerID=40&amp;md5=6d190b48285f613b9fca7373095eea97</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 25382128 Format The file format, physical medium, or dimensions of the resource Online Language A language of the resource English Type The nature or genre of the resource Article Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Ellumkalayil M.T., Department of Mathematics, CHRIST (Deemed to be University), Karnataka, Bangalore, 560029, India; Naduvath S., Department of Mathematics, CHRIST (Deemed to be University), Karnataka, Bangalore, 560029, India